Mister Exam
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How to use it?
- Equation:
-
Equation 9+6x-8x^2=0
- Equation x^4-15x^2-16=0
- Equation 5-8cos^2x=sin2x
- Equation ctgx/3-1=0
- Express {x} in terms of y where:
- 2*x+13*y=19
- 14*x-16*y=14
- 15*x+15*y=16
- 9*x-8*y=6
-
Identical expressions
- cos^ two (x+9pi/ two)= one /2sin(2x+pi)
- co sinus of e of squared (x plus 9 Pi divide by 2) equally 1 divide by 2 sinus of (2x plus Pi )
- co sinus of e of to the power of two (x plus 9 Pi divide by two) equally one divide by 2 sinus of (2x plus Pi )
- cos2(x+9pi/2)=1/2sin(2x+pi)
- cos2x+9pi/2=1/2sin2x+pi
- cos²(x+9pi/2)=1/2sin(2x+pi)
- cos to the power of 2(x+9pi/2)=1/2sin(2x+pi)
- cos^2x+9pi/2=1/2sin2x+pi
- cos^2(x+9pi divide by 2)=1 divide by 2sin(2x+pi)
-
Similar expressions
- cos^2(x-9pi/2)=1/2sin(2x+pi)
- cos^2(x+9pi/2)=1/2sin(2x-pi)
cos^2(x+9pi/2)=1/2sin(2x+pi) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2/ 9*pi\ sin(2*x + pi)
cos |x + ----| = -------------
\ 2 / 2
$$\cos^{2}{\left(x + \frac{9 \pi}{2} \right)} = \frac{\sin{\left(2 x + \pi \right)}}{2}$$
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-pi
x2 = ----
4
$$x_{2} = - \frac{\pi}{4}$$
3*pi
x3 = ----
4
$$x_{3} = \frac{3 \pi}{4}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Sum and product of roots
[src]
sum
pi 3*pi - -- + ---- + pi 4 4
$$\left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right) + \pi$$
=
3*pi ---- 2
$$\frac{3 \pi}{2}$$
product
-pi 3*pi 0*----*----*pi 4 4
$$\pi \frac{3 \pi}{4} \cdot 0 \left(- \frac{\pi}{4}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = 65.9734457253857
x2 = 69.1150383789755
x3 = 2.35619449019234
x4 = -21.9911485751286
x5 = 11.7809724509617
x6 = 21.9911485751286
x7 = 46.3384916404494
x8 = -15.707963267949
x9 = 36.9137136796801
x10 = 40.0553063332699
x11 = -32.2013246992954
x12 = -25.9181393921158
x13 = 9.42477796076938
x14 = 58.9048622548086
x15 = 97.3893722612836
x16 = 33.7721210260903
x17 = 53.4070751110265
x18 = 96.6039740978861
x19 = 55.7632696012188
x20 = 6.28318530717959
x21 = -34.5575191894877
x22 = 816.028691769949
x23 = -29.0597320457056
x24 = -69.9004365423729
x25 = 28.2743338823081
x26 = 18.0641577581413
x27 = -94.2477796076938
x28 = -12.5663706143592
x29 = -85.6083998103219
x30 = -7.06858347057703
x31 = 62.0464549083984
x32 = 52.621676947629
x33 = -63.6172512351933
x34 = -16.4933614313464
x35 = -10.2101761241668
x36 = -47.9092879672443
x37 = 59.6902604182061
x38 = -73.0420291959627
x39 = 72.2566310325652
x40 = 24.3473430653209
x41 = -50.2654824574367
x42 = -82.4668071567321
x43 = -76.1836218495525
x44 = -87.9645943005142
x45 = 37.6991118430775
x46 = -6.28318530717959
x47 = -37.6991118430775
x48 = -43.9822971502571
x49 = -57.3340659280137
x50 = 8.63937979737193
x51 = -54.1924732744239
x52 = -35.3429173528852
x53 = -51.0508806208341
x54 = -98.174770424681
x55 = 113.097335529233
x56 = -100.530964914873
x57 = 80.8960108299372
x58 = -72.2566310325652
x59 = -81.6814089933346
x60 = -95.0331777710912
x61 = -65.9734457253857
x62 = 0.0
x63 = -28.2743338823081
x64 = -56.5486677646163
x65 = -41.6261026600648
x66 = -91.8915851175014
x67 = 31.4159265358979
x68 = 43.9822971502571
x69 = 14.9225651045515
x70 = -19.6349540849362
x71 = -13.3517687777566
x72 = 81.6814089933346
x73 = -78.5398163397448
x74 = 50.2654824574367
x75 = 94.2477796076938
x76 = -3.92699081698724
x77 = -84.8230016469244
x78 = -59.6902604182061
x79 = -79.3252145031423
x80 = 90.3207887907066
x81 = 30.6305283725005
x82 = 109.955742875643
x83 = 15.707963267949
x84 = 87.9645943005142
x85 = 84.037603483527
x86 = 68.329640215578
x87 = 74.6128255227576
x88 = 103.672557568463
x89 = 63444.4636392459
x90 = 75.398223686155
x90 = 75.398223686155